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Finding the Fourth Proportional to 23,977.82, 35,870.35 and 20,725.82

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Solution

The fourth proportional to 23,977.82, 35,870.35 and 20,725.82 is: 31,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,977.82 : 35,870.35 = 20,725.82 : x
  2. Step 2: Convert to fraction form
    23,977.82/35,870.35 = 20,725.82/x
  3. Step 3: Cross multiply
    23,977.82x = 35,870.35 × 20,725.82
  4. Step 4: Simplify right side
    23,977.82x = 743,442,417.44
  5. Step 5: Solve for x
    x = 743,442,417.44/23,977.82
  6. Step 6: Final answer
    x = 31,005.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.